Answer:
Jake has <em>$11.29 </em>dollars left.
Step-by-step explanation:
To find the answer, we will add up<em> $5 + $6.50 + $7.21</em> and we get<em> $18.71</em>. Now <em>subtract $30 from 18.71</em>, which is <em>$11.29</em>. Therefore, <em>Jake has $11.29 dollars left.</em>
Answer:
13
Step-by-step explanation:
To find g f(2) , evaluate f(2) and substitute the value obtained into g(x)
f(2) = 2(2) + 1 = 4 + 1 = 5 , then
g(5) = 3(5) - 2 = 15 - 2 = 13
C: is the speed of light (3*10^8 m/s) and it is squared (raised to the power 2) in this equation.
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
2 plus 2 the answer would be 20
